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Sketch the region bounded above by the curve `8 x e^(-x)`, the `x`-axis, and `x = 2`, and find the area of the region. Round your answer to four decimal places.

Area `=`

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   x  x    n  |   | (   ) π DNE
   x    (   ) π DNE
( ) ( ] [ ) [ ] —∞ DNE
< > or All Real Numbers DNE
log logn ln n  | | e 
sin cos tan arcsin arccos arctan  
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